An "extreme" pogo stick utilizies a spring whose uncompressed length is 46 cm and whose force constant is 1.4 x 10^4 N/m (14000). A 60 kg enthusiast is jumping on the pogo stick, compressing the spring to a length of only 5.0 cm at the bottom of her jump, Calculate; a) The net upward force on her at the moment the spring reaches its greatest compression and b) her upward acceleration in m/s^2 and gs at that moment.
F=-kx F=ma w=mg
The Attempt at a Solution
Ok so i started with multiplying the force constant and difference of distance . 14000 x (0.46 - 0.05) = 5740 then i subtracted the weight which is (60)(9.8)= 588 which gave me an answer of 5152. The answer in the book says 5100. I know with having 2 sig figs you could say it was 5100 but i am not sure if i went about this right.. and also dont know where to go with b especially if i did not get a correct.??